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Probability Theory, Statistics and Exploratory Data Analysis
Week 4
PDF and CDF skill test

QuizQuiz • 15 min15 minutes

PDF and CDF skill test

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Due DateJun 15, 2:59 AM EDTJune 15, 2:59 AM EDT

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PDF and CDF skill test

Graded Quiz • 15 min

Due Jun 15, 2:59 AM EDT

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To Pass 100% or higher

Grade

100%

PDF and CDF skill test

Latest Submission Grade

100%

1.

Question 1

How many correct statements are in this list:

reaches its maximum at
for all
if then

1 / 1 point

0

1

2

3

Correct

2.

Question 2

$PDF_X$ is given by function

for
for
for

Find $C$ . Enter the irreducible fraction below (e.g., 13/28):

1 / 1 point

3/32

Correct

3.

Question 3

$PDF_X$ is given by function

for
for
for

with the value of $C$ defined in the previous task. Find $CDF_X(1)$ . Enter the irreducible fraction below (e.g., 13/28):

1 / 1 point

27/32

Correct

4.

Question 4

CDF of 2 independent random variables with Gaussian distribution (\mathcal N(0,1)) is given by function:

1 / 1 point

$\int\limits_{-\infty}^x \int\limits_{-\infty}^y \frac{1}{2\pi}e^{-\frac{x^2}{2} – \frac{y^2}{2}} dx dy$

$\int\limits_{-\infty}^x \int\limits_{-\infty}^y \frac{1}{2\pi}\exp^{-\frac{x^2}{2} \times \frac{y^2}{2}} dx dy$

$\int\limits_{-\infty}^x \int\limits_{-\infty}^y \frac{1}{2\pi}\exp^{-\frac{(x+y)^2}{2}} dx dy$

Correct